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Finding the Fourth Proportional to 1,176.68, 1,757.94 and 1,099.82

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Solution

The fourth proportional to 1,176.68, 1,757.94 and 1,099.82 is: 1,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.68 : 1,757.94 = 1,099.82 : x
  2. Step 2: Convert to fraction form
    1,176.68/1,757.94 = 1,099.82/x
  3. Step 3: Cross multiply
    1,176.68x = 1,757.94 × 1,099.82
  4. Step 4: Simplify right side
    1,176.68x = 1,933,417.57
  5. Step 5: Solve for x
    x = 1,933,417.57/1,176.68
  6. Step 6: Final answer
    x = 1,643.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.